M.S. Thesis - First Draft

Background and Introduction

Value-at-risk modeling, or VaR, is a commonly used tool to measure riskiness in a financial institution. CAViaR was a new take on risk modeling originally proposed by Robert Engle and Simone Manganelli in 2004 which builds upon the literature of modeling regression quantiles in settings which are essential.

and agree with the basic premise of the CAViaR paper that many of the nonparametric historical simulation methods don’t have attractive statistical properties and are chosen more for experimental qualities (an example of this in the 1998 paper by Boudoukh, Richardson, and Whitelaw cited by Engle which uses a semiparametric “hybrid” approach) I think trying to think too narrowly about VaR isn’t a very interesting statistical problem - in a sense, VaR is just a useful summarization of quantile risk put into dollar figures for easy consumption In my opinion, the most interesting question in the CAViaR paper isn’t VaR per se, it’s testing their theorems under relaxations of their assumptions to better understand their approach to extreme value theory. In particular, the following analyses catch my eye: How important is the assumption C2 on page 374 of the CAVIAR paper (which underlies Theorem 1 about the consistency of the estimator beta hat)? It states that “conditional on all of the past information…the error terms form a stationary process”. It may be an interesting test to see how much nonstationarity affects the consistency of the estimator beta hat. I could do this via simulation and see if there’s a lot of value here, which may lead us to a more fundamental result. In my opinion, theorems 4 and 5 (p. 371) are the most important in the paper because they state that the DQ_IS and DQ_OOS quantities are pivotals asymptotically. But it begs the question of how much does that matter, especially in the context of VaR, which in all likelihood is working with limited data? Therefore, it seems to me that the DQ8 and DQ9 assumptions are the shakiest assumptions required for theorem 5. It might be interesting to see how far off from a chi-squared distribution real-world data actually is. This may allow us to develop “rules of thumb” about the accuracy of these asymptotic distributions.

Methods Used

Fill in.

Data Used

Results

CODE

Libraries

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Univariate CAViaR Section

MV Caviar - Pulling the data

MV Caviar - Modified DI code

The code that is used in a diffusion index model is as follows. The key is figuring out where to make the extension. I’ll go through and comment everything and see what’s what.

Now that we have the function, let’s see if we can get it to work. First, we’ll need to compile all of our data

Let’s add a code which incorporates the previous values of the return.

MV Caviar - Calcuating losses

MV Caviar - Choosing the optimal number of predictors

MV Caviar - Running the univariate model multiple times

MV Caviar - Plotting function

MV Caviar - Old Loss Test Function

MV Caviar - A generalized loss calculation function

MV Caviar - Tables function

Export function

Big Simulation Function

Sector ETFs as Explanatory Variables

Here’s what I’m thinking.

Lowest level: 1%, 5%, 10% VaR Next, 2008, 2010, 2014, or 2016 Highest - ETF choices 3 x 4 x 5 = 60 runs

Importing and Running Datasets

Problem Solving on 4.29.2020

preserve101dbcc2fbd4a0e7

2008 Ending

U.S. ETFs

[[1]]
                     SPY           M1            M2            M3           M4           M5           M6
2008-01-04 -0.0248118342 -0.009008995 -0.0114038250 -6.506809e-03 -0.009785113 -0.010686294 -0.013024402
2008-01-07 -0.0008496457 -0.010368632 -0.0084263336 -2.036757e-03 -0.012744013 -0.013228876 -0.015812464
2008-01-08 -0.0162801552 -0.008802236 -0.0086991683 -2.789016e-03 -0.007451870 -0.012261209 -0.015326785
2008-01-09  0.0104552682 -0.010007454 -0.0116292656 -3.989046e-03 -0.014165540 -0.013124694 -0.017075181
2008-01-10  0.0065326791 -0.008237012 -0.0120536801 -6.577309e-03 -0.008756820 -0.013242877 -0.015986706
2008-01-11 -0.0081012617 -0.008609990 -0.0129927437 -9.762320e-03 -0.010171014 -0.012909533 -0.015305373
2008-01-14  0.0080307055 -0.009693916 -0.0103604940 -7.036558e-03 -0.008039063 -0.012787766 -0.015566701
2008-01-15 -0.0222590643 -0.008431257 -0.0107313252 -8.410308e-03 -0.009426473 -0.012671248 -0.014813285
2008-01-16 -0.0086497429 -0.010423230 -0.0110791278 -3.437999e-03 -0.010803258 -0.014159012 -0.017416000
2008-01-17 -0.0262580047 -0.009571017 -0.0132299493 -4.863722e-04 -0.009079987 -0.013963194 -0.017824470
2008-01-18 -0.0103207892 -0.010797726 -0.0190338918  5.987178e-04 -0.015159761 -0.015882524 -0.020399415
2008-01-22 -0.0101983469 -0.009605623 -0.0155451810 -1.908073e-03 -0.010131788 -0.015742488 -0.020891064
2008-01-23  0.0237370019 -0.009639679 -0.0163684113 -2.596526e-03 -0.013168828 -0.015603659 -0.021346177
2008-01-24  0.0084061146 -0.007409178 -0.0100474056 -1.010362e-02 -0.008638127 -0.016862082 -0.019755462
2008-01-25 -0.0145510127 -0.008840543 -0.0091431102 -1.341522e-02 -0.011004540 -0.016446659 -0.018817161
2008-01-28  0.0164012399 -0.009938185 -0.0081656547 -6.081848e-03 -0.006816994 -0.016688862 -0.019830912
2008-01-29  0.0049417741 -0.007968071 -0.0092892564 -8.738580e-03 -0.008070188 -0.016659563 -0.018466167
2008-01-30 -0.0073848272 -0.008596855 -0.0110532525 -1.079707e-02 -0.010106749 -0.015914871 -0.017531569
2008-01-31  0.0180699420 -0.009524466 -0.0111233920 -6.712125e-03 -0.006772641 -0.015467599 -0.017740087
2008-02-01  0.0159598414 -0.007756630 -0.0152328258 -8.498832e-03 -0.008319582 -0.016061234 -0.016506717
2008-02-04 -0.0126893053 -0.007936975 -0.0085145294 -1.405719e-02 -0.008129413 -0.016447785 -0.015447268
2008-02-05 -0.0271387661 -0.009637700 -0.0042830575 -7.857168e-03 -0.007084066 -0.016433787 -0.016184237
2008-02-06 -0.0080845276 -0.010811106 -0.0068349665  7.617532e-04 -0.011078908 -0.018386887 -0.019267574
2008-02-07  0.0065919871 -0.009410725 -0.0120956639 -1.257335e-03 -0.010130019 -0.017777008 -0.019521060
2008-02-08 -0.0064417940 -0.008615910 -0.0130952735 -7.442815e-03 -0.013198425 -0.017107892 -0.018660927
2008-02-11  0.0050966925 -0.009368441 -0.0088169211 -8.079318e-03 -0.008651630 -0.016271395 -0.018678827
2008-02-12  0.0092287560 -0.008610177 -0.0109754180 -7.887713e-03 -0.009837578 -0.015521003 -0.017964212
2008-02-13  0.0101709979 -0.008206896 -0.0072899663 -9.499480e-03 -0.007667360 -0.015309504 -0.016976154
2008-02-14 -0.0088387495 -0.008662643 -0.0034199380 -1.133014e-02 -0.008718016 -0.015189963 -0.016101563
2008-02-15 -0.0002217737 -0.009865055 -0.0076506907 -7.386325e-03 -0.008853091 -0.014863200 -0.016581009
2008-02-19  0.0028078397 -0.008752311 -0.0125648537 -5.889297e-03 -0.007606921 -0.013850842 -0.015870568
2008-02-20  0.0029473150 -0.008657089 -0.0133507941 -8.341232e-03 -0.011259223 -0.013174020 -0.015211847
2008-02-21 -0.0083486448 -0.008957609 -0.0103648493 -9.189042e-03 -0.008675011 -0.012572280 -0.014788114
2008-02-22  0.0061388665 -0.009812979 -0.0104726336 -5.365208e-03 -0.009118869 -0.012533072 -0.015092339
2008-02-25  0.0125298205 -0.008249017 -0.0091615346 -7.087356e-03 -0.009119955 -0.012338920 -0.014073229
2008-02-26  0.0074727484 -0.008427043 -0.0075540555 -1.159413e-02 -0.008898289 -0.012553822 -0.013206034
2008-02-27 -0.0010126331 -0.008564273 -0.0050563357 -1.122542e-02 -0.008244339 -0.012387555 -0.012569861
2008-02-28 -0.0098152362 -0.009300350 -0.0077330765 -7.676311e-03 -0.007159259 -0.011563377 -0.012209050
2008-02-29 -0.0225356856 -0.009715207 -0.0102540059 -6.336050e-03 -0.010606640 -0.011578654 -0.012929035
2008-03-03 -0.0023943356 -0.010715271 -0.0111511634 -9.231015e-04 -0.012602247 -0.013532766 -0.015487476
2008-03-04 -0.0038274278 -0.008661862 -0.0104759316 -3.681841e-03 -0.008118783 -0.012883603 -0.015135024
2008-03-05  0.0062962527 -0.009268762 -0.0131507287 -5.814803e-03 -0.012469017 -0.012393577 -0.015009980
2008-03-06 -0.0209151448 -0.008661525 -0.0123276509 -8.934318e-03 -0.010592554 -0.012188990 -0.014381744
2008-03-07 -0.0103537085 -0.010299790 -0.0086824929 -4.105654e-03 -0.009922167 -0.013505074 -0.016389464
2008-03-10 -0.0132709532 -0.009772380 -0.0094145094 -1.133176e-03 -0.009855150 -0.013499995 -0.016842926
2008-03-11  0.0353069013 -0.010005542 -0.0120210470 -3.596715e-03 -0.013439784 -0.013914770 -0.017662398
2008-03-12 -0.0093956541 -0.006829697 -0.0127647007 -1.320668e-02 -0.007568566 -0.016112226 -0.016026370
2008-03-13  0.0022053488 -0.009469711 -0.0110452077 -1.015872e-02 -0.010840656 -0.015925810 -0.016692753
2008-03-14 -0.0156173232 -0.008764945 -0.0117671308 -6.925152e-03 -0.006525839 -0.015038615 -0.015915603
2008-03-17 -0.0101584795 -0.010165074 -0.0106106051 -4.986029e-03 -0.010365173 -0.015527647 -0.016990939
2008-03-18  0.0407036536 -0.009689853 -0.0100672542 -2.156171e-03 -0.010372163 -0.015435997 -0.017565805
2008-03-19 -0.0250818491 -0.006388991 -0.0115073692 -1.344860e-02 -0.007394236 -0.018002278 -0.015977974
2008-03-20  0.0183532925 -0.010703682 -0.0130045908 -6.288316e-03 -0.013397510 -0.019140476 -0.018224565
2008-03-24  0.0197907260 -0.007990610 -0.0115022698 -6.146751e-03 -0.003903936 -0.019455168 -0.017238085
2008-03-25  0.0009646820 -0.007668727 -0.0071201631 -1.364887e-02 -0.009708333 -0.019897626 -0.016245206
2008-03-26 -0.0123112882 -0.008810584  0.0023141238 -1.092103e-02 -0.007429743 -0.018593554 -0.015636550
2008-03-27 -0.0031585591 -0.009770029 -0.0096555770 -6.661349e-03 -0.006549194 -0.018452294 -0.016355351
2008-03-28 -0.0096105193 -0.009253123 -0.0122075248 -4.873192e-03 -0.009866858 -0.017527668 -0.016131034
2008-03-31  0.0034917825 -0.009585075 -0.0118099038 -4.965288e-03 -0.011753099 -0.017234291 -0.016584202
2008-04-01  0.0345554764 -0.008756104 -0.0103472125 -6.900763e-03 -0.010462100 -0.016432530 -0.015958550
2008-04-02  0.0006585635 -0.007054069 -0.0065405357 -1.469148e-02 -0.006322901 -0.018388134 -0.014550503
2008-04-03  0.0024843280 -0.008789507 -0.0067383411 -1.330204e-02 -0.009872383 -0.017250829 -0.014061347
2008-04-04 -0.0010953896 -0.008983872 -0.0016709888 -8.258529e-03 -0.005174838 -0.016243034 -0.013571593
2008-04-07  0.0005112351 -0.008900336 -0.0037977186 -7.449499e-03 -0.007051658 -0.015190037 -0.013253338
2008-04-08 -0.0010226662 -0.009014350 -0.0081290029 -7.418208e-03 -0.011513767 -0.014217090 -0.012521856
2008-04-09 -0.0072621323 -0.009069519 -0.0119318420 -8.003548e-03 -0.006990304 -0.013348262 -0.012269086
2008-04-10  0.0013979696 -0.009679355 -0.0131530340 -6.495937e-03 -0.011522222 -0.012815686 -0.012687296
2008-04-11 -0.0195997100 -0.008818423 -0.0106663172 -5.822471e-03 -0.010361064 -0.012091436 -0.012281908
2008-04-14 -0.0033793720 -0.010182540 -0.0069344720 -4.095752e-03 -0.009812502 -0.013736268 -0.014432368
2008-04-15  0.0023291752 -0.009286144 -0.0066675930 -4.648167e-03 -0.009524887 -0.013194505 -0.014278900
2008-04-16  0.0267334733 -0.008735598 -0.0112287777 -7.427651e-03 -0.012586346 -0.012603576 -0.013725831
2008-04-17  0.0014600779 -0.007466123 -0.0094122855 -1.407224e-02 -0.006202972 -0.014175774 -0.012662022
2008-04-18  0.0103804298 -0.009032809 -0.0073928352 -1.171313e-02 -0.010433456 -0.013305582 -0.012238908
2008-04-21  0.0005051632 -0.008196470 -0.0059049694 -9.395215e-03 -0.004292174 -0.013326750 -0.011350304
2008-04-22 -0.0044122300 -0.009124997 -0.0075596071 -9.329673e-03 -0.009906278 -0.012530893 -0.011029920
2008-04-23 -0.0015963935 -0.009654872 -0.0097764786 -7.384091e-03 -0.007902490 -0.012151335 -0.011208449
2008-04-24  0.0043473397 -0.009034157 -0.0108286996 -5.648843e-03 -0.009764405 -0.011493195 -0.011082639
2008-04-25  0.0092113415 -0.008645427 -0.0134112793 -6.253240e-03 -0.010745012 -0.010918111 -0.010679179
2008-04-28  0.0002150994 -0.008467068 -0.0089681018 -1.039274e-02 -0.007867665 -0.011103574 -0.010157694
2008-04-29 -0.0039467796 -0.008933061 -0.0056142597 -8.173139e-03 -0.008876406 -0.010417474 -0.009899896
2008-04-30 -0.0059136301 -0.009396057 -0.0045445344 -5.854553e-03 -0.007250070 -0.010147353 -0.010065905
2008-05-01  0.0204743354 -0.009647983 -0.0093389533 -6.869330e-03 -0.011413316 -0.010088066 -0.010444978
2008-05-02  0.0027600366 -0.007635783 -0.0073064619 -8.041400e-03 -0.008557196 -0.011191943 -0.009679979
2008-05-05 -0.0048171655 -0.008737952 -0.0076116895 -1.193308e-02 -0.009561398 -0.010673187 -0.009381876
2008-05-06  0.0086260700 -0.009273423 -0.0086225189 -7.468741e-03 -0.005587270 -0.010434391 -0.009531474
2008-05-07 -0.0179713227 -0.008601222 -0.0093840212 -8.949787e-03 -0.010625991 -0.010619777 -0.009070932
2008-05-08 -0.0025837062 -0.010129929 -0.0065284720 -4.985588e-03 -0.009857324 -0.011898293 -0.010978453
2008-05-09 -0.0018699025 -0.008931359 -0.0082239227 -4.761851e-03 -0.007696242 -0.011370878 -0.010955332
2008-05-12  0.0111686003 -0.009284553 -0.0134015989 -6.824563e-03 -0.012118641 -0.010825458 -0.010850475
2008-05-13  0.0001424174 -0.008144653 -0.0099090503 -8.522933e-03 -0.009474034 -0.011185751 -0.010299525
2008-05-14  0.0020618202 -0.009043985 -0.0084488040 -9.835671e-03 -0.009355268 -0.010446242 -0.010023421
2008-05-15  0.0124255030 -0.008714788 -0.0046449225 -6.969332e-03 -0.007054251 -0.009822970 -0.009716711
2008-05-16  0.0009117828 -0.008468629 -0.0085913564 -1.027173e-02 -0.008504347 -0.010463808 -0.009197119
2008-05-19  0.0027300754 -0.008876867 -0.0069908722 -1.075360e-02 -0.009192716 -0.009807669 -0.008960367
2008-05-20 -0.0081422442 -0.008751969 -0.0076908499 -8.065270e-03 -0.007113497 -0.009441795 -0.008691880
2008-05-21 -0.0170593399 -0.009664896 -0.0129163904 -7.651344e-03 -0.008884352 -0.009677833 -0.009343417
2008-05-22  0.0001434719 -0.010191092 -0.0108505800 -2.939370e-03 -0.011730527 -0.010917471 -0.011026874
2008-05-23 -0.0134949236 -0.008834264 -0.0109120649 -3.780096e-03 -0.010653744 -0.010244604 -0.010709778
2008-05-27  0.0073832283 -0.009829299 -0.0101715399 -4.262240e-03 -0.010282362 -0.010930029 -0.011876182
2008-05-28  0.0046050538 -0.008655302 -0.0119377833 -6.275858e-03 -0.010561451 -0.010945754 -0.011354743
2008-05-29  0.0050126405 -0.008729524 -0.0093534639 -1.022954e-02 -0.009905164 -0.010696934 -0.010927395
2008-05-30  0.0024965093 -0.008469196 -0.0050385378 -7.269173e-03 -0.007195174 -0.010477758 -0.010512823
2008-06-02 -0.0103845953 -0.009028096 -0.0085846550 -8.877645e-03 -0.009105794 -0.010067573 -0.010172302
2008-06-03 -0.0058486286 -0.009674288 -0.0090114624 -6.303002e-03 -0.008237972 -0.010536006 -0.011076615
2008-06-04 -0.0005071990 -0.009108791 -0.0113517204 -3.282676e-03 -0.009120079 -0.010448435 -0.011418657
2008-06-05  0.0197999656 -0.009038541 -0.0140747752 -6.088543e-03 -0.010380395 -0.009867967 -0.011151951
2008-06-06 -0.0324135219 -0.007921051 -0.0114746838 -1.266514e-02 -0.009906518 -0.011123198 -0.010357913
2008-06-09  0.0024184013 -0.011258927 -0.0114033270 -4.660554e-03 -0.012337918 -0.013388159 -0.013617947
2008-06-10 -0.0049897990 -0.008768479 -0.0097804247 -4.280059e-03 -0.007209819 -0.012800199 -0.013151571
2008-06-11 -0.0148216573 -0.009287020 -0.0100541328 -5.866447e-03 -0.011190394 -0.012478084 -0.013289827
2008-06-12  0.0038006245 -0.010017039 -0.0095581533 -4.632764e-03 -0.011559032 -0.013022082 -0.014746910
                    M7          M8
2008-01-04 -0.01106787 -0.01002831
2008-01-07 -0.01337510 -0.01009095
2008-01-08 -0.01281398 -0.01011362
2008-01-09 -0.01328459 -0.01037225
2008-01-10 -0.01313312 -0.01033621
2008-01-11 -0.01274700 -0.01003977
2008-01-14 -0.01247925 -0.01003002
2008-01-15 -0.01222984 -0.01002333
2008-01-16 -0.01370327 -0.01033608
2008-01-17 -0.01341766 -0.01029021
2008-01-18 -0.01581681 -0.01049074
2008-01-22 -0.01534156 -0.01050162
2008-01-23 -0.01508860 -0.01052314
2008-01-24 -0.01614248 -0.01052334
2008-01-25 -0.01549864 -0.01048218
2008-01-28 -0.01551913 -0.01086290
2008-01-29 -0.01562666 -0.01087487
2008-01-30 -0.01490531 -0.01087535
2008-01-31 -0.01446217 -0.01084328
2008-02-01 -0.01491178 -0.01086248
2008-02-04 -0.01509242 -0.01053754
2008-02-05 -0.01497007 -0.01075964
2008-02-06 -0.01729184 -0.01088540
2008-02-07 -0.01661554 -0.01086917
2008-02-08 -0.01609005 -0.01088838
2008-02-11 -0.01564079 -0.01053919
2008-02-12 -0.01510702 -0.01050788
2008-02-13 -0.01481249 -0.01052990
2008-02-14 -0.01438782 -0.01050928
2008-02-15 -0.01365206 -0.01043245
2008-02-19 -0.01310742 -0.01042488
2008-02-20 -0.01272853 -0.01030622
2008-02-21 -0.01226457 -0.01035170
2008-02-22 -0.01204527 -0.01035296
2008-02-25 -0.01172091 -0.01033177
2008-02-26 -0.01187468 -0.01029768
2008-02-27 -0.01166039 -0.01033426
2008-02-28 -0.01124187 -0.01029673
2008-02-29 -0.01118355 -0.01029744
2008-03-03 -0.01323495 -0.01030203
2008-03-04 -0.01263646 -0.01031471
2008-03-05 -0.01222917 -0.01033507
2008-03-06 -0.01176701 -0.01033025
2008-03-07 -0.01360403 -0.01035688
2008-03-10 -0.01334929 -0.01039458
2008-03-11 -0.01339084 -0.01062285
2008-03-12 -0.01632837 -0.01094729
2008-03-13 -0.01600873 -0.01090959
2008-03-14 -0.01549607 -0.01082506
2008-03-17 -0.01574294 -0.01124373
2008-03-18 -0.01544405 -0.01122777
2008-03-19 -0.01875981 -0.01106906
2008-03-20 -0.01981496 -0.01167267
2008-03-24 -0.01981922 -0.01138780
2008-03-25 -0.01994828 -0.01138054
2008-03-26 -0.01916683 -0.01138651
2008-03-27 -0.01881581 -0.01171685
2008-03-28 -0.01816089 -0.01173378
2008-03-31 -0.01773119 -0.01171185
2008-04-01 -0.01712933 -0.01169614
2008-04-02 -0.01932527 -0.01172888
2008-04-03 -0.01862664 -0.01171184
2008-04-04 -0.01790164 -0.01169237
2008-04-07 -0.01728016 -0.01172288
2008-04-08 -0.01668403 -0.01141414
2008-04-09 -0.01565399 -0.01141968
2008-04-10 -0.01520254 -0.01143884
2008-04-11 -0.01408391 -0.01140905
2008-04-14 -0.01597748 -0.01177099
2008-04-15 -0.01522415 -0.01179067
2008-04-16 -0.01471571 -0.01174159
2008-04-17 -0.01619105 -0.01177454
2008-04-18 -0.01563512 -0.01175754
2008-04-21 -0.01538101 -0.01175619
2008-04-22 -0.01481623 -0.01174428
2008-04-23 -0.01439205 -0.01178524
2008-04-24 -0.01352539 -0.01159925
2008-04-25 -0.01245636 -0.01160130
2008-04-28 -0.01226322 -0.01161636
2008-04-29 -0.01179293 -0.01191309
2008-04-30 -0.01125705 -0.01189862
2008-05-01 -0.01088915 -0.01188514
2008-05-02 -0.01226603 -0.01192531
2008-05-05 -0.01179814 -0.01185793
2008-05-06 -0.01142907 -0.01188692
2008-05-07 -0.01130841 -0.01167423
2008-05-08 -0.01237490 -0.01225096
2008-05-09 -0.01192697 -0.01238535
2008-05-12 -0.01149399 -0.01205054
2008-05-13 -0.01157246 -0.01204441
2008-05-14 -0.01113051 -0.01203207
2008-05-15 -0.01069132 -0.01202071
2008-05-16 -0.01090922 -0.01205900
2008-05-19 -0.01049814 -0.01202546
2008-05-20 -0.01015312 -0.01205942
2008-05-21 -0.01011826 -0.01202825
2008-05-22 -0.01125025 -0.01244069
2008-05-23 -0.01082146 -0.01241750
2008-05-27 -0.01174083 -0.01259578
2008-05-28 -0.01157793 -0.01253764
2008-05-29 -0.01130220 -0.01252711
2008-05-30 -0.01105546 -0.01251679
2008-06-02 -0.01075565 -0.01250593
2008-06-03 -0.01058750 -0.01253083
2008-06-04 -0.01034156 -0.01255308
2008-06-05 -0.01001228 -0.01252008
2008-06-06 -0.01140092 -0.01248867
2008-06-09 -0.01466262 -0.01271641
2008-06-10 -0.01417605 -0.01281886
2008-06-11 -0.01372488 -0.01279919
2008-06-12 -0.01402494 -0.01308495
 [ reached getOption("max.print") -- omitted 139 rows ]

[[2]]
[[2]]$rect
[[2]]$rect$w
[1] 64.97259

[[2]]$rect$h
[1] 0.1684943

[[2]]$rect$left
[1] -14.44

[[2]]$rect$top
[1] 0.145146


[[2]]$text
[[2]]$text$x
[1] 24.21514 24.21514 24.21514 24.21514 24.21514 24.21514 24.21514 24.21514 24.21514

[[2]]$text$y
[1]  0.128296536  0.111447107  0.094597678  0.077748248  0.060898819  0.044049390  0.027199961  0.010350532
[9] -0.006498897



[[3]]
[[3]][[1]]
[1] 1.622597 1.564253 1.737877 1.534359 1.076953 1.066265 1.068465 1.366382

[[3]][[2]]
[1] 0.328 0.312 0.348 0.332 0.144 0.156 0.140 0.224

[[3]][[3]]
               [,1]         [,2]         [,3]         [,4]         [,5]         [,6]         [,7]         [,8]
  [1,] 1.422256e-02 1.206721e-02 1.647452e-02 1.352405e-02 1.271299e-02 1.060869e-02 1.236957e-02 1.330517e-02
  [2,] 9.518986e-04 7.576688e-04 1.187111e-04 1.189437e-03 1.237923e-03 1.496282e-03 1.252545e-03 9.241308e-04
  [3,] 6.730127e-03 6.822888e-03 1.214203e-02 7.945456e-03 3.617051e-03 8.580334e-04 3.119558e-03 5.549885e-03
  [4,] 2.046272e-03 2.208453e-03 1.444431e-03 2.462081e-03 2.357996e-03 2.753045e-03 2.373986e-03 2.082752e-03
  [5,] 1.476969e-03 1.858636e-03 1.310999e-03 1.528950e-03 1.977556e-03 2.251939e-03 1.966580e-03 1.686889e-03
  [6,] 5.087287e-05 4.891482e-04 1.661058e-04 2.069752e-04 4.808271e-04 7.204112e-04 4.645743e-04 1.938510e-04
  [7,] 1.772462e-03 1.839120e-03 1.506726e-03 1.606977e-03 2.081847e-03 2.359741e-03 2.050995e-03 1.806072e-03
  [8,] 1.244503e-02 1.037497e-02 1.246388e-02 1.154933e-02 8.629034e-03 6.701202e-03 9.026306e-03 1.101216e-02
  [9,] 1.773487e-04 2.429385e-04 4.690570e-03 2.153515e-04 5.509269e-04 8.766257e-04 5.053526e-04 1.686337e-04
 [10,] 1.501829e-02 1.172525e-02 2.319447e-02 1.546022e-02 1.106533e-02 7.590182e-03 1.155631e-02 1.437101e-02
 [11,] 4.769366e-05 8.713103e-04 9.827556e-03 4.838972e-04 5.561735e-04 1.007863e-03 5.496024e-04 1.699515e-05
 [12,] 5.334513e-04 5.346834e-04 7.461246e-03 5.990296e-05 5.544141e-04 1.069272e-03 5.143210e-04 3.032722e-05
 [13,] 3.337668e-03 4.010541e-03 2.633353e-03 3.690583e-03 3.934066e-03 4.508318e-03 3.882560e-03 3.426014e-03
 [14,] 1.581529e-03 1.845352e-03 1.850973e-03 1.704424e-03 2.526820e-03 2.816158e-03 2.454859e-03 1.892946e-03
 [15,] 5.139423e-03 4.867112e-03 1.022214e-03 3.191825e-03 1.895646e-04 4.266148e-04 9.476237e-05 3.661952e-03
 [16,] 2.633942e-03 2.456689e-03 2.248309e-03 2.321823e-03 3.309010e-03 3.623215e-03 3.192037e-03 2.726414e-03
 [17,] 1.290984e-03 1.423103e-03 1.368035e-03 1.301196e-03 2.160134e-03 2.340794e-03 2.056843e-03 1.581664e-03
 [18,] 1.212028e-04 3.668425e-04 3.412246e-04 2.721922e-04 8.530044e-04 1.014674e-03 7.520482e-04 3.490528e-04
 [19,] 2.759441e-03 2.919333e-03 2.478207e-03 2.484258e-03 3.353754e-03 3.581003e-03 3.253211e-03 2.891322e-03
 [20,] 2.371647e-03 3.119267e-03 2.445867e-03 2.427942e-03 3.202108e-03 3.246656e-03 3.087162e-03 2.682233e-03
 [21,] 4.277098e-03 3.757298e-03 1.367883e-04 4.103903e-03 3.758480e-04 2.757963e-04 2.403114e-04 1.936590e-03
 [22,] 1.575096e-02 2.057014e-02 1.735344e-02 1.804923e-02 9.634481e-03 9.859076e-03 1.095182e-02 1.474121e-02
 [23,] 2.726578e-04 1.124605e-03 7.961653e-03 2.994381e-04 1.030236e-03 1.118305e-03 9.207310e-04 2.800873e-04
 [24,] 1.600271e-03 1.868765e-03 7.849322e-04 1.672201e-03 2.436900e-03 2.611305e-03 2.320753e-03 1.746116e-03
 [25,] 2.174116e-04 6.653480e-04 1.001021e-04 6.756631e-04 1.066610e-03 1.221913e-03 9.648253e-04 4.446588e-04
 [26,] 1.446513e-03 1.391361e-03 1.317601e-03 1.374832e-03 2.136809e-03 2.377552e-03 2.073749e-03 1.563588e-03
 [27,] 1.783893e-03 2.020417e-03 1.711647e-03 1.906633e-03 2.474976e-03 2.719297e-03 2.433577e-03 1.973663e-03
 [28,] 1.837789e-03 1.746096e-03 1.967048e-03 1.783836e-03 2.548050e-03 2.714715e-03 2.498349e-03 2.070090e-03
 [29,] 1.584954e-04 4.876930e-03 2.491388e-04 1.086598e-04 6.351213e-04 7.262813e-04 5.549073e-04 1.670533e-04
 [30,] 9.643281e-04 7.428917e-04 7.164551e-04 8.631318e-04 1.464143e-03 1.635924e-03 1.343029e-03 1.021068e-03
 [31,] 1.156015e-03 1.537269e-03 8.697136e-04 1.041476e-03 1.665868e-03 1.867841e-03 1.591526e-03 1.323272e-03
 [32,] 1.160440e-03 1.629811e-03 1.128855e-03 1.420654e-03 1.612134e-03 1.815916e-03 1.567584e-03 1.325353e-03
 [33,] 6.089642e-05 2.016204e-04 8.403974e-05 3.263664e-05 4.223635e-04 6.439469e-04 3.915925e-04 2.003058e-04
 [34,] 1.595185e-03 1.661150e-03 1.150407e-03 1.525774e-03 1.867194e-03 2.123121e-03 1.818414e-03 1.649183e-03
 [35,] 2.077884e-03 2.169136e-03 1.961718e-03 2.164978e-03 2.486874e-03 2.660305e-03 2.425073e-03 2.286159e-03
 [36,] 1.589979e-03 1.502680e-03 1.906688e-03 1.637104e-03 2.002657e-03 2.067878e-03 1.934742e-03 1.777043e-03
 [37,] 7.551639e-04 4.043703e-04 1.021279e-03 7.231706e-04 1.137492e-03 1.155723e-03 1.064776e-03 9.321627e-04
 [38,] 4.633974e-04 1.873944e-03 1.925033e-03 2.390379e-03 1.748141e-04 2.393813e-04 1.426638e-04 4.814934e-05
 [39,] 1.153843e-02 1.105351e-02 1.457967e-02 1.073614e-02 9.861329e-03 8.645986e-03 1.021692e-02 1.101442e-02
 [40,] 8.320935e-04 8.756828e-04 1.324111e-03 1.020791e-03 1.113843e-03 1.309314e-03 1.084062e-03 7.907699e-04
 [41,] 4.834434e-04 6.648504e-04 1.310281e-04 4.291356e-04 9.056175e-04 1.130760e-03 8.809033e-04 6.487280e-04
 [42,] 1.556501e-03 1.944698e-03 1.211106e-03 1.876527e-03 1.868983e-03 2.130623e-03 1.852542e-03 1.663132e-03
 [43,] 1.102826e-02 7.728745e-03 1.078274e-02 9.290332e-03 7.853539e-03 5.880061e-03 8.233318e-03 9.526407e-03
 [44,] 4.852639e-05 1.504094e-03 5.623249e-03 3.883874e-04 3.151365e-04 6.035755e-04 3.250321e-04 3.167414e-07
 [45,] 3.148716e-03 3.470799e-03 1.092400e-02 3.074223e-03 2.290415e-05 3.571973e-04 7.833460e-06 2.588737e-03
 [46,] 4.531244e-03 4.732795e-03 3.890362e-03 4.874669e-03 4.922167e-03 5.296930e-03 4.869774e-03 4.592975e-03
 [47,] 2.309362e-03 3.369047e-04 3.811024e-04 1.644380e-03 6.716572e-04 6.630716e-04 6.932716e-04 1.551633e-04
 [48,] 1.167506e-03 1.325056e-03 1.236407e-03 1.304600e-03 1.813116e-03 1.889810e-03 1.821408e-03 1.311494e-03
 [49,] 6.167140e-03 3.465173e-03 7.822954e-03 8.182336e-03 5.208378e-04 2.982802e-05 1.091257e-04 4.313033e-03
 [50,] 6.594226e-07 4.521256e-05 4.655205e-03 2.066937e-05 5.369167e-04 6.832459e-04 5.584464e-04 1.085251e-04
 [51,] 5.039351e-03 5.077091e-03 4.285982e-03 5.107582e-03 5.613965e-03 5.826946e-03 5.614771e-03 5.193143e-03
 [52,] 1.682357e-02 1.221703e-02 1.046992e-02 1.591885e-02 6.371614e-03 8.193487e-03 5.689839e-03 1.261151e-02
 [53,] 2.905697e-03 3.135788e-03 2.464161e-03 3.175080e-03 3.749377e-03 3.657786e-03 3.816825e-03 3.002597e-03
 [54,] 2.778134e-03 3.129300e-03 2.593748e-03 2.369466e-03 3.924589e-03 3.702881e-03 3.960995e-03 3.117853e-03
 [55,] 8.633409e-04 8.084845e-04 1.461355e-03 1.067301e-03 2.086231e-03 1.720989e-03 2.091296e-03 1.234522e-03
 [56,] 3.150634e-03 1.316287e-02 1.251237e-03 4.393391e-03 6.282266e-04 3.325262e-04 6.855545e-04 8.322982e-04
 [57,] 6.611470e-04 6.497018e-04 3.502790e-04 3.390635e-04 1.529374e-03 1.319679e-03 1.565725e-03 8.558286e-04
 [58,] 3.216570e-04 2.597006e-04 4.263595e-03 2.563388e-05 7.917149e-04 6.520515e-04 8.550372e-04 2.123262e-04
 [59,] 1.307686e-03 1.530169e-03 8.457070e-04 1.524488e-03 2.072607e-03 2.007598e-03 2.122298e-03 1.520364e-03
 [60,] 4.331158e-03 4.490269e-03 4.145624e-03 4.501758e-03 5.098801e-03 5.051403e-03 5.168480e-03 4.625162e-03
 [61,] 7.712633e-04 7.199099e-04 1.535005e-03 6.981465e-04 1.904670e-03 1.520907e-03 1.998383e-03 1.238744e-03
 [62,] 1.127384e-03 9.222669e-04 1.578637e-03 1.235671e-03 1.973516e-03 1.654568e-03 2.111097e-03 1.419616e-03
 [63,] 7.888482e-04 5.755992e-05 7.163140e-04 4.079448e-04 1.514764e-03 1.247620e-03 1.680625e-03 1.059698e-03
 [64,] 9.411571e-04 4.308954e-04 7.960734e-04 7.562893e-04 1.570127e-03 1.376457e-03 1.779140e-03 1.223411e-03
 [65,] 7.991684e-04 7.106337e-04 6.395542e-04 1.049110e-03 1.319442e-03 1.149919e-03 1.566137e-03 1.039147e-03
 [66,] 1.807387e-04 4.669710e-04 7.414160e-05 2.446457e-04 6.086129e-04 5.006954e-04 8.391861e-04 4.157548e-04
 [67,] 1.107732e-03 1.455100e-03 7.893906e-04 1.292019e-03 1.421366e-03 1.408527e-03 1.660051e-03 1.283681e-03
 [68,] 9.703159e-03 8.040053e-03 1.239952e-02 8.314782e-03 6.757447e-03 6.586022e-03 4.964217e-03 7.371590e-03
 [69,] 6.803168e-04 3.555100e-04 7.163797e-05 6.433130e-04 1.035690e-03 1.105300e-03 1.259811e-03 8.391615e-04
 [70,] 1.161532e-03 8.996768e-04 6.977342e-04 1.185406e-03 1.552368e-03 1.660807e-03 1.755332e-03 1.411984e-03
 [71,] 3.546907e-03 3.796225e-03 3.416112e-03 3.931982e-03 3.933705e-03 4.045930e-03 4.144918e-03 3.847506e-03
 [72,] 8.926201e-04 1.087236e-03 1.553232e-03 7.663050e-04 1.563585e-03 1.412210e-03 1.765113e-03 1.323462e-03
 [73,] 1.941324e-03 1.777327e-03 2.209356e-03 2.081389e-03 2.368601e-03 2.261934e-03 2.601555e-03 2.213797e-03
 [74,] 8.701633e-04 6.410133e-04 9.900378e-04 4.797338e-04 1.383191e-03 1.185547e-03 1.588617e-03 1.226135e-03
 [75,] 4.712767e-04 3.147377e-04 4.917443e-04 5.494048e-04 8.118663e-04 6.617690e-04 1.040400e-03 7.332054e-04
 [76,] 8.058479e-04 8.180085e-04 5.787697e-04 6.306096e-04 1.055494e-03 9.612055e-04 1.279566e-03 1.018884e-03
 [77,] 1.338150e-03 1.517604e-03 9.996183e-04 1.411174e-03 1.584053e-03 1.542998e-03 1.787273e-03 1.594659e-03
 [78,] 1.785677e-03 2.262262e-03 1.546458e-03 1.995635e-03 2.012945e-03 1.989052e-03 2.166770e-03 2.081264e-03
 [79,] 8.682167e-04 9.183201e-04 1.060784e-03 8.082765e-04 1.131867e-03 1.037279e-03 1.247832e-03 1.183146e-03
 [80,] 4.986281e-04 1.667480e-04 4.226360e-04 4.929626e-04 6.470694e-04 5.953116e-04 7.846151e-04 7.966314e-04
 [81,] 3.482426e-04 1.232186e-03 5.316952e-05 1.336440e-04 4.233723e-04 4.152275e-04 5.343421e-04 5.984987e-04
 [82,] 3.012232e-03 2.981329e-03 2.734367e-03 3.188765e-03 3.056240e-03 3.091931e-03 3.136349e-03 3.235948e-03
 [83,] 1.039582e-03 1.006650e-03 1.080144e-03 1.131723e-03 1.395198e-03 1.244002e-03 1.502607e-03 1.468535e-03
 [84,] 3.920786e-04 2.794524e-04 7.115911e-04 4.744233e-04 5.856022e-04 4.564710e-04 6.980973e-04 7.040763e-04
 [85,] 1.789949e-03 1.724859e-03 1.609481e-03 1.421334e-03 1.906046e-03 1.815754e-03 2.005514e-03 2.051299e-03
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[1]  0.0389858360  0.0294674094  0.0199489827  0.0104305560  0.0009121293 -0.0086062973 -0.0181247240
[8] -0.0276431507 -0.0371615774

preservede78aadbd3992b7f

$rect
$rect$w
[1] 64.61263

$rect$h
[1] 0.06289976

$rect$left
[1] -14.36

$rect$top
[1] 0.04667087


$text
$text$x
[1] 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098

$text$y
[1]  0.040380890  0.034090914  0.027800939  0.021510963  0.015220987  0.008931011  0.002641035 -0.003648940
[9] -0.009938916

preserve20d468cf1baadd81

$rect
$rect$w
[1] 64.61263

$rect$h
[1] 0.05746902

$rect$left
[1] -14.36

$rect$top
[1] 0.04636246


$text
$text$x
[1] 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098

$text$y
[1]  0.0406155591  0.0348686575  0.0291217558  0.0233748541  0.0176279525  0.0118810508  0.0061341492
[8]  0.0003872475 -0.0053596542

preserve691646a3fc52a2a0

Commodity ETFs

Bond ETFs

$rect
$rect$w
[1] 64.61263

$rect$h
[1] 0.09032912

$rect$left
[1] -14.36

$rect$top
[1] 0.04822855


$text
$text$x
[1] 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098

$text$y
[1]  0.039195633  0.030162721  0.021129809  0.012096896  0.003063984 -0.005968928 -0.015001840 -0.024034752
[9] -0.033067665

preserve5895982b33945237

$rect
$rect$w
[1] 64.61263

$rect$h
[1] 0.06066502

$rect$left
[1] -14.36

$rect$top
[1] 0.04654396


$text
$text$x
[1] 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098

$text$y
[1]  0.040477456  0.034410954  0.028344453  0.022277951  0.016211450  0.010144948  0.004078446 -0.001988055
[9] -0.008054557

preserveef7b108da00de417

$rect
$rect$w
[1] 64.61263

$rect$h
[1] 0.05746902

$rect$left
[1] -14.36

$rect$top
[1] 0.04636246


$text
$text$x
[1] 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098

$text$y
[1]  0.0406155591  0.0348686575  0.0291217558  0.0233748541  0.0176279525  0.0118810508  0.0061341492
[8]  0.0003872475 -0.0053596542

preserve9259fc7bae7d771f

All ETFs

$rect
$rect$w
[1] 64.61263

$rect$h
[1] 0.09469975

$rect$left
[1] -14.36

$rect$top
[1] 0.04847675


$text
$text$x
[1] 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098

$text$y
[1]  0.039006773  0.029536798  0.020066824  0.010596849  0.001126875 -0.008343100 -0.017813074 -0.027283049
[9] -0.036753023

preserve762ad2a03f3b41fb

$rect
$rect$w
[1] 64.61263

$rect$h
[1] 0.06122859

$rect$left
[1] -14.36

$rect$top
[1] 0.04657596


$text
$text$x
[1] 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098

$text$y
[1]  0.040453103  0.034330245  0.028207386  0.022084527  0.015961668  0.009838810  0.003715951 -0.002406908
[9] -0.008529767

preservef1c4f727fb1776f3

$rect
$rect$w
[1] 64.61263

$rect$h
[1] 0.05746902

$rect$left
[1] -14.36

$rect$top
[1] 0.04636246


$text
$text$x
[1] 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098

$text$y
[1]  0.0406155591  0.0348686575  0.0291217558  0.0233748541  0.0176279525  0.0118810508  0.0061341492
[8]  0.0003872475 -0.0053596542

preserve14e9aef632f086a8

2014 Ending

U.S. ETFs

$rect
$rect$w
[1] 64.97259

$rect$h
[1] 0.06318821

$rect$left
[1] -14.44

$rect$top
[1] 0.02801616


$text
$text$x
[1] 24.21514 24.21514 24.21514 24.21514 24.21514 24.21514 24.21514 24.21514 24.21514

$text$y
[1]  0.021697343  0.015378522  0.009059702  0.002740881 -0.003577940 -0.009896761 -0.016215582 -0.022534403
[9] -0.028853223

preserve0392f5189594f944

$rect
$rect$w
[1] 64.97259

$rect$h
[1] 0.0391762

$rect$left
[1] -14.44

$rect$top
[1] 0.02665255


$text
$text$x
[1] 24.21514 24.21514 24.21514 24.21514 24.21514 24.21514 24.21514 24.21514 24.21514

$text$y
[1]  0.0227349323  0.0188173126  0.0148996929  0.0109820733  0.0070644536  0.0031468339 -0.0007707857
[8] -0.0046884054 -0.0086060251

preserveb92f1954a7914da4

$rect
$rect$w
[1] 64.97259

$rect$h
[1] 0.03920233

$rect$left
[1] -14.44

$rect$top
[1] 0.02665404


$text
$text$x
[1] 24.21514 24.21514 24.21514 24.21514 24.21514 24.21514 24.21514 24.21514 24.21514

$text$y
[1]  0.0227338031  0.0188135703  0.0148933375  0.0109731047  0.0070528719  0.0031326391 -0.0007875937
[8] -0.0047078265 -0.0086280593

preservea08943135e7e335a

Global ETFs

$rect
$rect$w
[1] 64.97259

$rect$h
[1] 0.06007008

$rect$left
[1] -14.44

$rect$top
[1] 0.02783909


$text
$text$x
[1] 24.21514 24.21514 24.21514 24.21514 24.21514 24.21514 24.21514 24.21514 24.21514

$text$y
[1]  0.021832082  0.015825074  0.009818066  0.003811058 -0.002195950 -0.008202958 -0.014209965 -0.020216973
[9] -0.026223981

preservee9458bd14a7f5d28

$rect
$rect$w
[1] 64.97259

$rect$h
[1] 0.0391762

$rect$left
[1] -14.44

$rect$top
[1] 0.02665255


$text
$text$x
[1] 24.21514 24.21514 24.21514 24.21514 24.21514 24.21514 24.21514 24.21514 24.21514

$text$y
[1]  0.0227349323  0.0188173126  0.0148996929  0.0109820733  0.0070644536  0.0031468339 -0.0007707857
[8] -0.0046884054 -0.0086060251

preserveb74176de51fd96af

$rect
$rect$w
[1] 64.97259

$rect$h
[1] 0.03323897

$rect$left
[1] -14.44

$rect$top
[1] 0.02631538


$text
$text$x
[1] 24.21514 24.21514 24.21514 24.21514 24.21514 24.21514 24.21514 24.21514 24.21514

$text$y
[1]  0.022991487  0.019667590  0.016343693  0.013019795  0.009695898  0.006372001  0.003048103 -0.000275794
[9] -0.003599691

preservec0a04b2883398714

Commodity ETFs

Bond ETFs

$rect
$rect$w
[1] 64.97259

$rect$h
[1] 0.05387232

$rect$left
[1] -14.44

$rect$top
[1] 0.02748713


$text
$text$x
[1] 24.21514 24.21514 24.21514 24.21514 24.21514 24.21514 24.21514 24.21514 24.21514

$text$y
[1]  0.0220998945  0.0167126626  0.0113254307  0.0059381988  0.0005509669 -0.0048362650 -0.0102234969
[8] -0.0156107288 -0.0209979607

preserve8288f932ee78ff49

$rect
$rect$w
[1] 64.97259

$rect$h
[1] 0.04065019

$rect$left
[1] -14.44

$rect$top
[1] 0.02673626


$text
$text$x
[1] 24.21514 24.21514 24.21514 24.21514 24.21514 24.21514 24.21514 24.21514 24.21514

$text$y
[1]  0.022671239  0.018606220  0.014541201  0.010476182  0.006411163  0.002346144 -0.001718875 -0.005783894
[9] -0.009848913

preserve25ec970401fa32b5

$rect
$rect$w
[1] 64.97259

$rect$h
[1] 0.03323897

$rect$left
[1] -14.44

$rect$top
[1] 0.02631538


$text
$text$x
[1] 24.21514 24.21514 24.21514 24.21514 24.21514 24.21514 24.21514 24.21514 24.21514

$text$y
[1]  0.022991487  0.019667590  0.016343693  0.013019795  0.009695898  0.006372001  0.003048103 -0.000275794
[9] -0.003599691

preserve0b3f551026613249

All ETFs

$rect
$rect$w
[1] 64.97259

$rect$h
[1] 0.07726224

$rect$left
[1] -14.44

$rect$top
[1] 0.02881541


$text
$text$x
[1] 24.21514 24.21514 24.21514 24.21514 24.21514 24.21514 24.21514 24.21514 24.21514

$text$y
[1]  0.021089187  0.013362963  0.005636739 -0.002089484 -0.009815708 -0.017541932 -0.025268156 -0.032994380
[9] -0.040720603

preserve2d87bed189b20def

$rect
$rect$w
[1] 64.97259

$rect$h
[1] 0.04281603

$rect$left
[1] -14.44

$rect$top
[1] 0.02685925


$text
$text$x
[1] 24.21514 24.21514 24.21514 24.21514 24.21514 24.21514 24.21514 24.21514 24.21514

$text$y
[1]  0.022577650  0.018296047  0.014014444  0.009732841  0.005451238  0.001169635 -0.003111968 -0.007393571
[9] -0.011675174

preserve5c1a5d8d6208f21f

$rect
$rect$w
[1] 64.97259

$rect$h
[1] 0.03368237

$rect$left
[1] -14.44

$rect$top
[1] 0.02634056


$text
$text$x
[1] 24.21514 24.21514 24.21514 24.21514 24.21514 24.21514 24.21514 24.21514 24.21514

$text$y
[1]  0.0229723274  0.0196040905  0.0162358535  0.0128676165  0.0094993796  0.0061311426  0.0027629057
[8] -0.0006053313 -0.0039735682

preserved46f4a384278aaca

2016 Ending

U.S. ETFs

$rect
$rect$w
[1] 64.61263

$rect$h
[1] 0.04983222

$rect$left
[1] -14.36

$rect$top
[1] 0.02691495


$text
$text$x
[1] 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098

$text$y
[1]  0.021931725  0.016948503  0.011965282  0.006982060  0.001998838 -0.002984383 -0.007967605 -0.012950826
[9] -0.017934048

preserve84d1c76b72b666a2

$rect
$rect$w
[1] 64.61263

$rect$h
[1] 0.04546367

$rect$left
[1] -14.36

$rect$top
[1] 0.02991372


$text
$text$x
[1] 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098

$text$y
[1]  0.025367350  0.020820983  0.016274617  0.011728250  0.007181883  0.002635516 -0.001910850 -0.006457217
[9] -0.011003584

preserve8c42a4441a01afed

$rect
$rect$w
[1] 64.61263

$rect$h
[1] 0.04272322

$rect$left
[1] -14.36

$rect$top
[1] 0.02651124


$text
$text$x
[1] 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098

$text$y
[1]  0.022238914  0.017966592  0.013694270  0.009421948  0.005149626  0.000877304 -0.003395018 -0.007667340
[9] -0.011939662

preserve747be26643295903

Global ETFs

$rect
$rect$w
[1] 64.61263

$rect$h
[1] 0.04983222

$rect$left
[1] -14.36

$rect$top
[1] 0.02691495


$text
$text$x
[1] 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098

$text$y
[1]  0.021931725  0.016948503  0.011965282  0.006982060  0.001998838 -0.002984383 -0.007967605 -0.012950826
[9] -0.017934048

preserve88e132c12b273aa2

$rect
$rect$w
[1] 64.61263

$rect$h
[1] 0.0431767

$rect$left
[1] -14.36

$rect$top
[1] 0.02653699


$text
$text$x
[1] 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098

$text$y
[1]  0.0222193182  0.0179016485  0.0135839788  0.0092663092  0.0049486395  0.0006309698 -0.0036866999
[8] -0.0080043696 -0.0123220393

preserve08324b45a8a4e906

$rect
$rect$w
[1] 64.61263

$rect$h
[1] 0.04272322

$rect$left
[1] -14.36

$rect$top
[1] 0.02651124


$text
$text$x
[1] 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098

$text$y
[1]  0.022238914  0.017966592  0.013694270  0.009421948  0.005149626  0.000877304 -0.003395018 -0.007667340
[9] -0.011939662

preserveba0ef8dc545eebd5

Commodity ETFs

Bond ETFs

$rect
$rect$w
[1] 64.61263

$rect$h
[1] 0.04983222

$rect$left
[1] -14.36

$rect$top
[1] 0.02691495


$text
$text$x
[1] 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098

$text$y
[1]  0.021931725  0.016948503  0.011965282  0.006982060  0.001998838 -0.002984383 -0.007967605 -0.012950826
[9] -0.017934048

preserve1f7ad4990bc92f18

$rect
$rect$w
[1] 64.61263

$rect$h
[1] 0.0431767

$rect$left
[1] -14.36

$rect$top
[1] 0.02653699


$text
$text$x
[1] 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098

$text$y
[1]  0.0222193182  0.0179016485  0.0135839788  0.0092663092  0.0049486395  0.0006309698 -0.0036866999
[8] -0.0080043696 -0.0123220393

preserveadc8dde2a60a8e2a

$rect
$rect$w
[1] 64.61263

$rect$h
[1] 0.04272322

$rect$left
[1] -14.36

$rect$top
[1] 0.02651124


$text
$text$x
[1] 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098

$text$y
[1]  0.022238914  0.017966592  0.013694270  0.009421948  0.005149626  0.000877304 -0.003395018 -0.007667340
[9] -0.011939662

preserve99e5758aaa214d09

All ETFs

$rect
$rect$w
[1] 64.61263

$rect$h
[1] 0.04983222

$rect$left
[1] -14.36

$rect$top
[1] 0.02691495


$text
$text$x
[1] 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098

$text$y
[1]  0.021931725  0.016948503  0.011965282  0.006982060  0.001998838 -0.002984383 -0.007967605 -0.012950826
[9] -0.017934048

preserve5585e6a803b2da56

$rect
$rect$w
[1] 64.61263

$rect$h
[1] 0.0431767

$rect$left
[1] -14.36

$rect$top
[1] 0.02653699


$text
$text$x
[1] 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098

$text$y
[1]  0.0222193182  0.0179016485  0.0135839788  0.0092663092  0.0049486395  0.0006309698 -0.0036866999
[8] -0.0080043696 -0.0123220393

preserve8c89dfcd2f37c0d3

$rect
$rect$w
[1] 64.61263

$rect$h
[1] 0.04272322

$rect$left
[1] -14.36

$rect$top
[1] 0.02651124


$text
$text$x
[1] 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098 24.08098

$text$y
[1]  0.022238914  0.017966592  0.013694270  0.009421948  0.005149626  0.000877304 -0.003395018 -0.007667340
[9] -0.011939662

preserveca2d0fd6cc59860d

JUNK CODE

Problem solving on 4.25.2020 to see why commodities ETFs code had a problem.